Group theory of non-abelian vortices

被引：15

作者：

Eto, Minoru ^{[1
]}

Fujimori, Toshiaki ^{[2
,3
,4
]}

Gudnason, Sven Bjarke ^{[3
,4
]}

Jiang, Yunguo ^{[3
,4
]}

Konishi, Kenichi ^{[3
,4
]}

Nitta, Muneto ^{[5
,6
]}

Ohashi, Keisuke ^{[7
]}

机构：

[1] RIKEN, Nishina Ctr, Phys Math Lab, Saitama 3510198, Japan

[2] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan

[3] Ist Nazl Fis Nucl, Sez Pisa, I-56127 Pisa, Italy

[4] Univ Pisa, Dept Phys, I-56127 Pisa, Italy

[5] Keio Univ, Dept Phys, Kanagawa 2238521, Japan

[6] Keio Univ, Res & Educ Ctr Nat Sci, Kanagawa 2238521, Japan

[7] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 11期

关键词：

Duality in Gauge Field Theories; Solitons Monopoles and Instantons; Confinement; Nonperturbative Effects; SUPERSYMMETRIC GAUGE-THEORIES; NON-LINEAR REALIZATION; SIGMA-MODELS; NONLINEAR REALIZATION; KAHLER; MONOPOLES; DUALITY; MODULI; CONFINEMENT; SYMMETRY;

D O I：

10.1007/JHEP11(2010)042

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We investigate the structure of the moduli space of multiple BPS non-Abelian vortices in U(N) gauge theory with N fundamental Higgs fields, focusing our attention on the action of the exact global (color-flavor diagonal) SU(N) symmetry on it. The moduli space of a single non-Abelian vortex, CPN-1, is spanned by a vector in the fundamental representation of the global SU(N) symmetry. The moduli space of winding-number k vortices is instead spanned by vectors in the direct-product representation: they decompose into the sum of irreducible representations each of which is associated with a Young tableau made of k boxes, in a way somewhat similar to the standard group composition rule of SU(N) multiplets. The Kahler potential is exactly determined in each moduli subspace, corresponding to an irreducible SU(N) orbit of the highest-weight configuration.

引用

页数：38

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